Prime Factorization of 3,675
Answer
3,675 = 3 × 52 × 72
Step by Step Solution
| Step | Number | Divide by | Result |
|---|---|---|---|
| 1 | 3,675 | 3 | 1,225 |
| 2 | 1,225 | 5 | 245 |
| 3 | 245 | 5 | 49 |
| 4 | 49 | 7 | 7 |
| 5 | 7 | 7 | 1 |
Prime Factors
The prime factors of 3,675 are: 3, 5, 7
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Understanding Prime Factorization
The prime factorization of 3,675 shows how this number can be expressed as a product of prime numbers. In this case:
- We start with 3,675
- Break it down into its prime factors: 3, 5, 7
- Final expression: 3 × 52 × 72